I'm more familiar with Young's work than Taylor's, although I see Taylor continued to act in recent years, and portrayed Winston Churchill in Inglourious Bastards (2009)
Alan Young is more famous, of course, for being on “Mr. Ed.” He outlived his younger co-star who played his wife (and the horse, of course).
Young & Taylor did a rather touching short sequel of sorts to “The Time Machine”, which was basically a single scene where the two of them meet some years after the fact before Young’s character is to die in WW1.
http://www.imdb.com/title/tt0300555/?ref_=nm_flmg_slf_7